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Finding the Fourth Proportional to 52,142.69, 78,218.15 and 20,550.59

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Solution

The fourth proportional to 52,142.69, 78,218.15 and 20,550.59 is: 30,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,142.69 : 78,218.15 = 20,550.59 : x
  2. Step 2: Convert to fraction form
    52,142.69/78,218.15 = 20,550.59/x
  3. Step 3: Cross multiply
    52,142.69x = 78,218.15 × 20,550.59
  4. Step 4: Simplify right side
    52,142.69x = 1,607,429,224.00
  5. Step 5: Solve for x
    x = 1,607,429,224.00/52,142.69
  6. Step 6: Final answer
    x = 30,827.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.